Factoring Trinomials a=1

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax² + bx + c.

Front

What does it mean to factor a trinomial?

Back

Factoring a trinomial involves rewriting it as a product of two binomials.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c, where a, b, and c are constants.

Front

What is the leading coefficient in a trinomial?

Back

The leading coefficient is the coefficient of the term with the highest degree, which is 'a' in ax².

Front

How do you identify the factors of a trinomial?

Back

To identify factors, look for two numbers that multiply to 'c' and add to 'b'.

Front

Factor the trinomial: x² + 3x + 2

Back

(x + 2)(x + 1)

Front

Factor the trinomial: x² - 5x - 24

Back

(x - 8)(x + 3)

Front

Factor the trinomial: b² + 8b + 7

Back

(b + 7)(b + 1)

Front

Factor the trinomial: x² - 9x + 20

Back

(x - 5)(x - 4)

Front

Factor the trinomial: n² + 16n + 63

Back

(n + 7)(n + 9)